Answer:
option D) (x,y,z)
Step-by-step explanation:
we know that
The <u>three-dimensional Cartesian coordinate</u> is defined by three axes at right angles to each other, forming a three dimensional space.
The three axes are labeled x ,y and z.
The x-axis is called abscissa
The y-axis is called ordinate
The z-axis is called applicate
therefore
A point in a three-dimensional Cartesian coordinate is represented by (x,y,z)
The number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks
Given:
<em>Amount with Sam </em>= $2,500
<em>Additional savings each week</em> = $40
<em>Amount with Marshal</em> = $7,300
<em>Amount spent each week</em> = $60
let
x = <em>number of weeks</em>
<em>Sam equation:</em>
2500 + 40x
<em>Marshall's equation:</em>
7300 - 60x
Equate both
2500 + 40x = 7300 - 60x
<em>collect like terms</em>
2500 - 7300 = - 60x - 40x
-4800 = -100x
divide both sides by - 100
x = -4800 / -100
x = 48 weeks
Therefore, the number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks
Read more:
brainly.com/question/8957185
Because 0.1 is 10% or 1/10 of 100.
Answer:
161.92
Step-by-step explanation:
Answer:
![C'\ = (-5,3)](https://tex.z-dn.net/?f=C%27%5C%20%3D%20%28-5%2C3%29)
Step-by-step explanation:
Given
![A = (2, 1)](https://tex.z-dn.net/?f=A%20%3D%20%20%282%2C%201%29)
![B = (3, 5)](https://tex.z-dn.net/?f=B%20%3D%20%283%2C%205%29)
![C = (5, 3)](https://tex.z-dn.net/?f=C%20%3D%20%285%2C%203%29)
![D = (3, 1).](https://tex.z-dn.net/?f=D%20%3D%20%283%2C%201%29.)
Reflection across y-axis
Required
Coordinates of C'
When a point is reflected across the y-axis, the rule is:
![(x,y) \to (-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28-x%2Cy%29)
So, the reflection on C will be:
![C\ (5,3) \to C'\ (-5,3)](https://tex.z-dn.net/?f=C%5C%20%285%2C3%29%20%5Cto%20C%27%5C%20%28-5%2C3%29)